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> Classes are divorced from the practical applications of learning. Apprenticeships train in exactly the situation you’d want to apply the skill.

Hmm .... Something like in the movie "The Hunt for Red October", the US Navy wanted:

(1) Start with recordings by US submarines of underwater sounds, and write software to estimate the power spectra using the FFT (Fast Fourier Transform) and the Blackman and Tukey, "The Measurement of Power Spectra".

(2) Given ships at sea and a war, how long would the US submarines last? Start with some WWII analysis of search and encounters by Koopmans and do a Monte-Carlo Markov process, generate many independent sample paths and average.

Gee, how could I do those without my academic courses in analysis and probability? And there are more examples, including the crucial, original core math in my startup.



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